Each of us is connected through our parents and their parents and so forth to a first life form which has no parent and is composed and derived from non-biological forms. So each of us is intimately connected through our genealogical history to the non-biological Universe! Indeed, each of us is connected in this way to the whole Universe!!! It is this type of conceptual, big picture thinking that pervades Stephen Stearns’free video course EEB 122: Principles of Evolution, Ecology, and Behavior at Open Yale Courses (OYC). Even though I do not think the separation between life and non-life is as clearcut as Stearns suggests, Jeannie and I thoroughly enjoyed our excursion into Biology with Stephen Stearns as our guide at OYC!

The Importance of Biology, Evolution, Ecology, and Behavior

Understanding biology is essential as civilization is inseparable from the great ecosystems upon which it is built and in which it is housed. Our future is inextricably linked to the always changing nature of the Earth-Biosphere system which provides our food and shelter. In EEB 122, we learned that the entire Earth has been sculpted by the biological technology we call “life“. At a more day-to-day human scale, medicine and health care are vital subjects in biology and in our economy (caring for the health of the ecosystem of cells, organs and their microscopic cohabitators known as “human” engages 9% of the economies in most OECD countries and nearly twice that in the USA). EEB 122 has a whole lecture devoted to medicine and more comments throughout the course.

Evolution theory has had a profound influence on modern thinking. From its nascent formulation by Charles Darwin, the theory of evolution has itself changed (evolved!) substantially over its first 150 years. I found it particularly interesting to learn that the modern theory is quite different from what my culture-imbued intuitions misled me to think. This course is eye-opening! Even if you disagree with some of the ideas of evolution (and who doesn’t have some questions and concerns about this subtle subject which is itself changing), this course corrects some of our endemic misperceptions. For example, Stearns asserts in lecture 3 that the notion of “survival of the fittest” is wrong! I had no idea that that iconic “sound bite” is but a dead-end on the road to the modern theory of evolution!

It’s not ignorance does so much damage; it’s knowing so darned much that ain’t so. — Josh Billings

In summary, OYC’s EEB 122 is an excellent introduction to the basic principles of biology needed to better understand medicine, health care, evolution theory, ecology, the behavior of organisms, and biological technologies such as the enterprising work of the Buckminster Fuller Challenge winners. Finally, and perhaps most importantly, EEB 122 gives a conceptually broad, biologically detailed introduction to one of the most enchanting visions of change ever developed: the theory of the evolution of species.

How We Used the EEB 122 Course Materials

Jeannie and I started watching EEB 122 around New Year’s. We watch courses like this for edutainment. That is, we do not plan to become professional biologists, instead we watch video courses as a form cultural enrichment: How do biologists think? What do they know? What is the current understanding of evolution? I am deeply curious about how the world works. Video courses like EEB 122 are deeply enriching in this regard.

Glibert Strang’s 18.06 Linear Algebra course at MIT OpenCourseWare is exquisite! Jeannie and I went through it about a year ago. Strang’s approach to the material and engaging teaching style make the course a joy. Unlike other OER (Open Educational Resources) courses that we have taken, I cannot recommend just watching the videos. Instead one needs to really think about the concepts which is greatly facilitated by doing the exercises: this is typical for mathematics. It took significant effort to master the content. The material builds quickly and it was essential for us to work hard on each lecture. On several occasions we re-watched the videos and had to read the text carefully and collate with other on-line resources (some provided or referenced in the wonderful OpenCourseWare materials but some found by web searching, Wikipedia, etc.). We also used resources from our library (personal and public).

Jeannie and I were able to enjoy the whole course but it definitely took significant effort. This is the only video course that we have thoroughly studied and it was worth it!

Are there any other OER video courses on linear algebra? I have not found any which is a shame for such important material.

Linear algebra is one of the most useful branches of mathematics beyond introductory (high school) algebra and geometry. It is the algebraic study of intersections of complexes of lines, planes and hyperplanes and therefore has a strong geometrical component. Since each coordinate in the Cartesian representation of a line can be thought of as a variable, linear algebra provides a first order or “linear” approximation to multivariable systems. It is therefore a widespread and fundamental tool. Linear algebra has found applications in business, economics, engineering, genetics, computer graphics, social sciences, graph theory and much more. It is essential for anyone wanting to understand advanced mathematics. The matrix or an array of numbers is the basic object of study in linear algebra. So it is sometimes called matrix theory. Vector spaces are the abstract form of linear algebra.

Is that a good characterization of linear algebra? How would you improve it?